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Low computation cycle and high speed recursive DFT/IDFT: VLSI algorithm and architecture

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TLDR
The proposed core-type recursive architecture achieves half computation-cycle reduction as well as less critical period compared with the conventional second-order DFT/IDFT architecture.
Abstract
In this paper, we propose two low-computation cycle and high-speed recursive discrete Fourier transform (DFT)/inverse DFT (IDFT) architectures adopting the hybrid of Chebyshev polynomial and register-splitting scheme. The proposed core-type recursive architecture achieves half computation-cycle reduction as well as less critical period compared with the conventional second-order DFT/IDFT architecture. So as to further reduce the number of computation cycles, based on the new core-type design, we develop the folded-type recursive DFT/IDFT architecture with the same operating frequency. Moreover, from the derivation results, the operation of DFT and IDFT can be performed with the same structure under different configurations.

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Citations
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Proceedings ArticleDOI

A low-power 64-point FFT/IFFT design for IEEE 802.11a WLAN application

TL;DR: A cost-effective and low-power 64-point fast Fourier transform (FFT)/inverse FFT (IFFT) architecture and chip adopting the retrenched 8-point FFT/IFFT (R8-FFT) unit and an efficient data-swapping method based output buffer unit is proposed.
Journal ArticleDOI

Low Computational Complexity, Low Power, and Low Area Design for the Implementation of Recursive DFT and IDFT Algorithms

TL;DR: The proposed algorithm was found to reduce multiplication computations by 50.5% using the symmetric identity of coefficients and a resource-sharing technique and register-splitting scheme, and decrease read-only memory sizes by 50% compared with conventional algorithms.
Journal ArticleDOI

Low-Computation-Cycle, Power-Efficient, and Reconfigurable Design of Recursive DFT for Portable Digital Radio Mondiale Receiver

TL;DR: Low-cost, fast-computational, power-efficient, and reconfigurable design for recursive discrete Fourier transform (RDFT), the first integration that collated both the prime factor algorithm and the Chinese reminder theorem into a recursive algorithm is proposed.
Journal ArticleDOI

VLSI Architecture for the Low-Computation Cycle and Power-Efficient Recursive DFT/IDFT Design

TL;DR: This novel low-computation cycle and power-efficient recursive discrete Fourier transform/inverse DFT (IDFT) architecture adopting a hybrid of input strength reduction, the Chebyshev polynomial, and register-splitting schemes achieves a reduction in computation-cycle by half.
Journal ArticleDOI

Low-Power and Optimized VLSI Implementation of Compact Recursive Discrete Fourier Transform (RDFT) Processor for the Computations of DFT and Inverse Modified Cosine Transform (IMDCT) in a Digital Radio Mondiale (DRM) and DRM+ Receiver

TL;DR: A compact structure of recursive discrete Fourier transform (RDFT) with prime factor (PF) and common factor (CF) algorithms to calculate variable-length DFT coefficients with low-power optimizations in VLSI implementation is presented.
References
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Book

Discrete-Time Signal Processing

TL;DR: In this paper, the authors provide a thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete time Fourier analysis.
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OFDM for Wireless Multimedia Communications

TL;DR: In this paper, the authors present a comprehensive introduction to OFDM for wireless broadband multimedia communications and provide design guidelines to maximize the benefits of this important new technology, including modulation and coding, synchronization, and channel estimation.
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Applications of distributed arithmetic to digital signal processing: a tutorial review

TL;DR: DA is applied to a biquadratic digital filter, providing an example of vector dot-product and vector-matrix-product mechanization and it is seen that DA is a very efficient means to mechanize computations that are dominated by inner products.
Journal ArticleDOI

Real-valued fast Fourier transform algorithms

TL;DR: A new implementation of the real-valued split-radix FFT is presented, an algorithm that uses fewer operations than any otherreal-valued power-of-2-length FFT.